If a signal is sampled at a sampling rate of 0.2 ms, then its sampling frequency is ____________kHz.
Show Hint
Correct Answer: 5
Solution and Explanation
The sampling frequency (sampling rate in Hz) is simply the reciprocal of the sampling interval (the time between successive samples):
\[ f_s = \frac{1}{\Delta t} \]Here the sampling interval is given as \(\Delta t = 0.2\ \text{ms} = 0.2 \times 10^{-3}\ \text{s} = 2 \times 10^{-4}\ \text{s}\). Substituting:
\[ f_s = \frac{1}{2 \times 10^{-4}\ \text{s}} = 5000\ \text{Hz} = 5\ \text{kHz} \]So a sample is taken every 0.2 milliseconds, which corresponds to exactly 5000 samples being recorded every second, i.e. a sampling frequency of 5 kHz.
\(\boxed{f_s = 5\ \text{kHz}}\)
Top GATE GG Geophysics Questions
In the schematic, line P shows a 1-D geothermal profile. If the heat flow at the base of the mantle increases, which line will reflect the new geothermal profile?
Consider a steady-state heat conduction equation for the Earth’s crust where \( A \) is the heat source and \( k \) is the thermal conductivity. Given the boundary conditions: \( T = 0 \) at the surface and \( Q \) is the heat flux at the surface, Which one of the following options would be the temperature \( T \) at depth \( z \)?
- Assume heat producing elements are uniformly distributed within a 16 km thick layer in the crust in a heat flow province. Given that the surface heat flow and reduced heat flow are 54 mW/m$^2$ and 22 mW/m$^2$, respectively, the radiogenic heat production in the given crustal layer in $\mu$W/m$^3$ is ________ (in integer).
- In a multi-electrode resistivity tomography (ERT) survey, using equally spaced electrodes, which of the given configurations will provide the maximum number of data points?
- In Electromagnetic methods of prospecting, which one of the given options is CORRECT about frequency and type of current source for the Primary field used?
Top GATE GG Seismic Data Processing Questions
- Normal moveout (NMO) for reflected phase of seismic data is 2 milliseconds. Consider the diffraction source at the edge of the same reflector, where the shot point is directly above the diffraction source. In this case, the NMO due to diffraction is \(\underline{\hspace{1cm}}\) milliseconds.
- In a 2D seismic survey, first receiver location is at (1000 m, 4000 m), second receiver location is at (2000 m, 4000 m) and the source location is at (2000 m, 1000 m). Consider P-wave velocity as 5000 m/sec. The difference in first arrival time of P-wave phase for the two receivers is \(\underline{\hspace{1cm}}\) seconds.
- If \(\hat{f}(t)\) denotes the Hilbert transform of \(f(t)\), then the Hilbert transform of \(\hat{f}(t)\) is equal to
- Considering a surface point source, the horizontal resolution recoverable from the seismic data acquired using a 10 Hz seismic pulse reflected from a depth of 30 km within the crust, with a velocity of 6.5 km/s, is __________ km (rounded off to two decimal places).
- How many traces will be present in a zero-offset section that is generated from the following marine seismic survey?
Near offset = 100 m
Shot interval = 20 m
Receiver interval = 10 m
Number of shots = 100
Number of receivers = 1000
(Figure not to scale)
Top GATE GG Questions
Is there any good show __________ television tonight? Select the most appropriate option to complete the above sentence.
As the police officer was found guilty of embezzlement, he was ___________ dismissed from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.
- The sum of the following infinite series is: \[ 1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots \]
- A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting, and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
The figures I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
